Results 121 to 130 of about 14,205,522 (247)

Infinitely many positive solutions for p-Laplacian equations with singular and critical growth terms

Boundary Value Problems
In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p-Laplacian type involving a singularity and a critical Sobolev exponent { − Δ p u = u p ∗ − 1 + λ | u | γ − 1 u , in Ω , u = 0 , on ∂ Ω ...
Chen-Xi Wang, Hong-Min Suo
doaj   +1 more source

Some remarks on the critical point theory

, 2007
In this paper we discuss some problems about critical point theory. In the first part of the paper we study existence and multiplicity results of semilinear second order elliptic equation: $$ \begin{cases} -\Delta u=f(x,u) &\text{for } x\in \Omega, \\ u ...
Li, Chong
core  

The VHL tumor suppressor at the crossroad of protein folding, aggregation, and cancer

Molecular Oncology, EarlyView.
Mutations, environmental stress, and chaperone dysfunction can destabilize pVHL, promoting its conversion from the native folded state into amyloid‐like assemblies. This transition may contribute to protein storage, cell dormancy, survival, and drug resistance.
Lara Abad, Silvio Carlo Ermanno Tosatto, Emanuela Leonardi   +2 more
wiley   +1 more source

Existence of three solutions for higher order BVP with parameters via Morse theory

Electronic Journal of Differential Equations, 2016
We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.
Mariusz Jurkiewicz, Bogdan Przeradzki
doaj  

Extracellular vesicle lipidomics liquid biopsy reveals systemic and tumor microenvironment metabolic reprogramming in ovarian cancer

Molecular Oncology, EarlyView.
Extracellular vesicle (EV) lipidomic profiling of plasma and ascites from patients with high‐grade serous ovarian cancer and of ovarian cancer cell lines reveals enrichment of triglycerides (TGs), diacylglycerols (DGs), phosphatidylcholine (PCs), sphingomyelins (SMs), reflecting tumor metabolic reprogramming.
Shikha Rani, Dominic Guanzon, Andrew Lai, Katherin Scholz‐Romero, Sarah Reed, Edita Ritmejeryte, Rohan Lourie, Naven Chetty, Kaltin Ferguson, Carlos Salomon   +9 more
wiley   +1 more source

Rotationally invariant periodic solutions of semilinear wave equations

Abstract and Applied Analysis, 1998
Martin Schechter
doaj   +1 more source

Multiple solutions of nonlinear fractional elliptic equations via Morse theory

Electronic Journal of Differential Equations, 2017
This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods
Wei Qi, Lin Zhao, Xingjie Yan
doaj  

Regulation of the lncRNA NEAT1 by p53‐ΔNp63 crosstalk modulates the DNA damage response and therapeutic efficacy in HNSCC

Molecular Oncology, EarlyView.
In head and neck squamous cell carcinoma (HNSCC) p53 and p63 exert opposite roles on the transcription regulation of the lncRNA NEAT1. Under basal conditions, p53 levels are low and p63 represses NEAT1 expression. Upon genotoxic stress, p53 is rapidly induced, displacing p63 from the NEAT1 promoter leading to NEAT1 transcriptional activation and ...
Sara De Domenico, Veronica La Banca, Silvia D'Amico, Stefano Scalera, Sara Nicolai, Angelo Peschiaroli   +5 more
wiley   +1 more source

Existence of multiple solutions for quasilinear diagonal elliptic systems

Electronic Journal of Differential Equations, 1999
Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system $$ -sum_{i,j=1}^{n}D_j(a^{k}_{ij}(x,u)D_iu_k)+ {1over 2}sum_{i,j=1}^{n}sum_{h=1}^N D_{s_k}a^{h}_{ij}(x,u)D_iu_hD_ju_h=g_k(x,u ...
Marco Squassina
doaj  

Extracellular matrix remodeling and immune reprogramming drive residual tumor progression of liver cancer after incomplete microwave ablation

Molecular Oncology, EarlyView.
Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu, Yubei He, Nikolaus Berndt, Michael Mülleder, Kathrin Textoris‐Taube, Jing Guo, Matthias Stechele, Justus Ramtke, Shraga Nahum Goldberg, Lynn Jeanette Savic   +9 more
wiley   +1 more source